Proton decay and mu -> e+gamma connection in a renormalizable SO(10) GUT for neutrinos
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Supersymmetric SO(10) grand unified models with renormalizable Yukawa couplings involving 10, 126, and 120 Higgs fields have been shown to give a very economical theory for understanding quark-lepton flavor in a unified framework. In previous papers, we showed how nucleon decay can be suppressed in these models without invoking cancellation, by choice of Yukawa flavor texture within a type II seesaw framework for neutrinos that explains all mixings and masses including the recently observed "large" 13. In this followup paper, we extend our earlier work to the case of type I seesaw and show that the recently measured large 13 can be accommodated in this case while suppressing proton decay. We then point out that the two cases (type I and II) lead to different testable predictions for B(e+ ) and B((e)+) as well as different flavor final states in nucleon decay. In particular, we find that for the type I seesaw case, B(+) can be observable while at the same time suppressing B(e+), whereas in the type II seesaw case, B( +) is always suppressed whereas B(e+) is observable. 2013 American Physical Society.